Use this URL to cite or link to this record in EThOS:
Title: Mathematical modelling of population dynamics in complex and fragmented environments
Author: Alharbi, Weam G.
ISNI:       0000 0004 7655 5467
Awarding Body: University of Leicester
Current Institution: University of Leicester
Date of Award: 2018
Availability of Full Text:
Access from EThOS:
Access from Institution:
Understanding the effect of the global environmental change on the dynamics of ecosystems and populations is a major challenge in contemporary science, and mathematical modelling is widely recognised as an efficient research tool to address it. In particular, habitat fragmentation has become a key concern in ecology over the past 20 years as it is thought to increase the threat to biodiversity that causes species extinction worldwide. Mathematical modelling helps to understand the effect of complex and fragmented habitat on population dynamics. The objective of this thesis is to address several issues related to the problem of habitat fragmentation and shed light onto population dynamics using mathematical modelling and computer simulations in several domains of different shape. Chapter 1 gives an introduction and literature review. Chapter 2 provides a single species model, i.e., two-dimensional reaction-diffusion equation (taking the Allee effect into account) in order to determine how the boundaries impact the population persistence using various domain shapes and sizes with different strengths of the Allee effect. Chapter 3 considers a domain of a more complicated shape, i.e. two large uniform habitats connected by a narrow corridor with a "stepping stone" in the middle, and investigates the survival rates of a population already at risk of extinction. This includes varying factors, such as patch size, Allee effect strength and patch location. Patterns and rates of invasive species spread in a complex environment have been a focus of attention in Chapter 4, where we are considering the spatiotemporal dynamics of an alien species affected by a predator. Since the purpose of this work is to reveal the factors affecting species survival in small and fragmented habitats, critical domain problem for the reaction-telegraph equation model is introduced in Chapter 5. Telegraph equation is sometimes thought to be a more adequate model of population dynamics as it takes into account directional persistence of individual animal movement. Chapter 6 provides conclusions and an outline of possible future work.
Supervisor: Petrovskii, Sergei Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available